Write an equation to find the measure of the total angle

Ryo accidentally ordered 240% as many eggs as his restaurant needed. What fraction of the number of eggs his restaurant needs di

Anarel [89]

Answer:

Ryo ordered $\frac{12}{5}$ of the amount of eggs his restaurant needed

Step-by-step explanation:

Let's call z the number of eggs the restaurant needs

Ryo ordered 240% of the eggs he needed. Then Ryo ordered:

$\frac{240}{100}$ z.

This fraction can be simplified by dividing by 10 in the numerator and denominator.

Then it is:

$\frac{24}{10}$

It can be further simplified by dividing by 2 in the numerator and denominator:

$\frac{12}{5}$ z

Ryo ordered $\frac{12}{5}$ of the amount of eggs his restaurant needed

6 0

3 years ago

A go-cart with a mass of 200 kg is pushed with a force of 1000 N (1000 kg m/s2). What is the acceleration of the go-cart?

Hunter-Best [27]

Answer:

Acceleration=5m/s^2

Step-by-step explanation:

F=ma

1000=200xa

a=1000/200

a=5m/s^2

8 0

3 years ago

Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Mandarinka [93]

Answer:

The general rule is $a_n = -2 - 5(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

$a_{n} = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

$a_n = a_m + (n-m)d$

a3 = -12 and a8 = -37

First we find the common difference. So

$a_n = a_m + (n-m)d$

$a_8 = a_3 + (8-3)d$

$-37 = -12 + 5d$

$5d = -25$

$d = -\frac{25}{5}$

$d = -5$

So

$a_n = a_1 - 5(n-1)$

Finding the first term:

$a_n = a_1 - 5(n-1)$

Since $a_3 = -12$

$a_n = a_1 - 5(n-1)$

$a_3 = a_1 - 5(3-1)$

$a_1 = a_3 + 10 = -12 + 10 = -2$

So the general rule is:

$a_n = a_1 - 5(n-1)$

$a_n = -2 - 5(n-1)$

6 0

2 years ago

A popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags

ELEN [110]

Answer:

Step-by-step explanation:

Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.

i.e. Sample mean = 1040 and

Sample std dev s = 25 gm

Sample size n = 100

Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm

$\bar X = N(1040,25)$

Normal curve would be with mean 1040 and std deviatin 25

b) P(X>1115)

= 1-0.9987

=0.0013

i.e. 0.13% would receive a bag that had a weight greater than 1115 grams

8 0

3 years ago

Find the 10th term in the Arithmetic Sequence -2, -5, -8, -11

Inessa [10]

As you can tell, the next time decreases by three every time. So, the tenth term would be -29.
-2,-5,-8,-11,-14,-17,-20,-23,-26,-29

4 0

2 years ago